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Finding the Third Proportional to 187.19 and 411.13

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Solution

The third proportional to 187.19 and 411.13 is: 902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.19 : 411.13 = 411.13 : x
  2. Step 2: Convert to fraction form
    187.19/411.13 = 411.13/x
  3. Step 3: Cross multiply
    187.19x = 411.13 × 411.13
  4. Step 4: Simplify right side
    187.19x = 169,023.77
  5. Step 5: Solve for x
    x = 169,023.77/187.19
  6. Step 6: Final answer
    x = 902.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.